 Solution

ID: past-exam-of-the-calculus-of-variations-course-of-the-university-of-oxford/2011/1/a/ii/solution

F ((1 - t) x + t y) < (1 - t) F (x) + tF (y) if x \neq = y, 0 < t < 1.

Endpoint and coincident-point cases are excluded because they necessarily give equality.

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